A New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory

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dc.creatorSheikh-Jabbari, M. M.
dc.date2008-10-21
dc.date2008-12-28
dc.date.accessioned2026-07-07T12:32:23Z
dc.date.available2026-07-07T12:32:23Z
dc.descriptionBased on the realization of three-algebras in terms of algebra of matrices and four-brackets [arXiv:0807.1570] we present the notion of u(N)-based extended three-algebras, which for N=2 reproduces the Bagger-Lambert three-algebra. Using these extended three-algebras we construct an su(N)\times su(N) Chern-Simons action with explicit SO(8) invariance. The dynamical fields of this theory are eight complex valued bosonic and fermionic fields in the bi-fundamental representation of the su(N)\times su(N). For generic N the fermionic transformations, however, close only on a subclass of the states of this theory onto the 3d, {\cal N}=6 superalgebra. In this sector we deal with four complex valued scalars and fermions, our theory is closely related to the ABJM model [arXiv:0806.1218], and hence it can be viewed as the (low energy effective) theory of N M2-branes. We discuss that our three-algebra structure suggests a picture of open M2-brane stretched between any two pairs of M2-branes. We also analyze the BPS configurations of our model.
dc.description39 pages, 3 .eps figures, v2: References added, typos corrected, v3: typos corrected, an appendix added, the version to appear in JHEP
dc.identifierhttps://arxiv.org/abs/0810.3782
dc.identifierhttp://arxiv.org/abs/0810.3782
dc.identifierJHEP 0812:111,2008
dc.identifierdoi:10.1088/1126-6708/2008/12/111
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/216766
dc.subjectHigh Energy Physics - Theory
dc.titleA New Three-Algebra Representation for the {\cal N}=6 su(N)Xsu(N) Superconformal Chern-Simons Theory
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